非对称设计的通用字长枚举器

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2024-10-10 DOI:10.1016/j.spl.2024.110281

Kang Wang , Na Zou , Hong Qin

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引用次数: 0

摘要

本文将字长枚举器的研究扩展到非对称设计，并将广义 α 和 β 字长模式与广义字长枚举器统一起来。广义字长枚举器计算简单、速度快，能有效地对对称设计和非对称设计进行比较和排序。提供了广义字长枚举器的下限，可作为搜索和构建最优设计的基准。我们还提供了数值结果，进一步支持了我们的理论发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized wordlength enumerator for asymmetrical designs

In this paper, we extend the study of wordlength enumerator to asymmetrical designs, and unify the generalized

α

- and

β

-wordlength pattern with generalized wordlength enumerator. The generalized wordlength enumerator is easy and fast to compute, and can effectively compare and rank symmetrical and asymmetrical designs. A lower bound of generalized wordlength enumerator is provided, and can be used as a benchmark for searching and constructing optimal designs. Numerical results are also provided, which lend further support to our theoretical findings.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

期刊介绍： Statistics & Probability Letters adopts a novel and highly innovative approach to the publication of research findings in statistics and probability. It features concise articles, rapid publication and broad coverage of the statistics and probability literature. Statistics & Probability Letters is a refereed journal. Articles will be limited to six journal pages (13 double-space typed pages) including references and figures. Apart from the six-page limitation, originality, quality and clarity will be the criteria for choosing the material to be published in Statistics & Probability Letters. Every attempt will be made to provide the first review of a submitted manuscript within three months of submission. The proliferation of literature and long publication delays have made it difficult for researchers and practitioners to keep up with new developments outside of, or even within, their specialization. The aim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of material and to stay up-to-date with developments in all areas of statistics and probability. The mainstream of Letters will focus on new statistical methods, theoretical results, and innovative applications of statistics and probability to other scientific disciplines. Key results and central ideas must be presented in a clear and concise manner. These results may be part of a larger study that the author will submit at a later time as a full length paper to SPL or to another journal. Theory and methodology may be published with proofs omitted, or only sketched, but only if sufficient support material is provided so that the findings can be verified. Empirical and computational results that are of significant value will be published.